Question

The parabola y=x^2 squared is reflected across the X axis and then scaled vertically by a factor of five. What is the equation of the new Parabola?

Answer 1

Answer:
`y=-5x^2`

Explanation:

Knowing that the parent function of a quadratic function is
`y=x^2`, it can be transformated.

If
`y=-x^2` then the parabola is reflected over the x-axis.

If
`y=ax^2`, and
`|a|>1`, then the parabola is stretched vertically.

Therefore, in this case, if the parabola is reflected across the x-axis and then scaled vertically by a factor of five, the new equation of the parabola is the following:

`y=-5x^2`

Where
`|a|>1`